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LCM of 652, 480, 298, 794, 894

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 652, 480, 298, 794, 894 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 652, 480, 298, 794, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,480,298,794,894

Given numbers are 652,480,298,794,894

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 652,480,298,794,894 is 4628130720.

Find LCM of 652,480,298,794,894 with Prime Factorization


2 652, 480, 298, 794, 894
2 326, 240, 149, 397, 447
3 163, 120, 149, 397, 447
149 163, 40, 149, 397, 149
163, 40, 1, 397, 1

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 149 x 163 x 40 x 1 x 397 x 1 = 4628130720

Therefore, the lowest common multiple of 652,480,298,794,894 is 4628130720.

LCM Formula to Find Lowest Common Multiple of 652,480,298,794,894

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

652 x 480 x 298 x 794 x 894 = 66200781818880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

652 : 1, 2, 4, 163, 326, 652

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

298 : 1, 2, 149, 298

794 : 1, 2, 397, 794

894 : 1, 2, 3, 6, 149, 298, 447, 894

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,480,298,794,894, is 2.

Now, the common factors can be found like this.

652:2x 2x 163

480:2x 2x 2x 2x 2x 3x 5

298:2x 149

794:2x 397

894:2x 3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 149 = 7152

Therefore, the value for common factors is 7152.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 66200781818880/(2x7152)

LCM = 66200781818880/14304

LCM = 4628130720

Thus, we can understand that the LCM of 652,480,298,794,894 is 4628130720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 480, 298, 794, 894

1. What is the LCM of 652, 480, 298, 794, 894?

Answer: LCM of 652, 480, 298, 794, 894 is 4628130720.

2. How to calculate the LCM of 652, 480, 298, 794, 894?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 652, 480, 298, 794, 894.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.